# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 109 - 115 of 968

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## Question 109

### Question

MCQ▾

When is divided by , the quotient and remainder is ________

### Choices

Choice (4)Response

a.

, -4

b.

c.

, 4

d.

## Question 110

### Question

MCQ▾

The value of k for which the system of equations , has infinite number of solutions, is ________

### Choices

Choice (4)Response

a.

3

b.

1

c.

6

d.

0

## Question 111

### Question

MCQ▾

If one zero of the polynomial is a reciprocal of the other, then p is equal to ________

### Choices

Choice (4)Response

a.

4

b.

6

c.

8

d.

7

## Question 112

### Question

MCQ▾

A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 113

### Question

MCQ▾

If are the zeroes of the quadratic polynomial such that , then the value of k is ________

### Choices

Choice (4)Response

a.

-6

b.

6

c.

-5

d.

5

## Question 114

### Question

MCQ▾

If be the zeroes of the quadratic polynomial , then the value of = ________

### Choices

Choice (4)Response

a.

4

b.

-1

c.

-2

d.

1

## Question 115

### Question

MCQ▾

If a and b are the roots of the equation , then the equation if the roots are ?

### Choices

Choice (4)Response

a.

b.

c.

d.